Tutor profile: Sireesha K.

A surveyor is mapping a triangular corn field. He measures the lengths of two of the sides of the corn field are 450 yards and 320 yards and the included angle is 80°. What is the measure of the third side of the corn field, to the nearest yard?

As two side lengths and an included angle are given and asked to find third side length use law of cosines. Law of cosine: c^2=a^2+b^2-2abCos(C), where a, b and c are the side lengths and C is the included angle of the sides a and b. Substitute the values we know: 450^2+320^2 - 2(450)(320)Cos(80) Simplifying we get the length of the third to the nearest yard is 505 yards.

A teacher asked Erica to solve the equation 6(P+3) = 4p+38. The steps followed are shown below: Step 1: 6p+18=4p+38 Step 2: 10p+18=38 Step 3: 10p=20 Step 4: p=2 Explain Erica’s error.

Yes. In step 2, Erica added 4p and 6p, but according to subtraction property of equality; 4p should be subtracted from 6p. Thus, the correct steps are: Step 1: 6p+18=4p+38 Step 2: 2p+18=38 Step 3: 2p=20 Step 4: p=10 So, the correct value of p is 10.

Nylah gets $x as a pocket money for this week. She spends $1.50 for comic book, $0.75 for binder and $5.50 for a calculator. Write an expression for the amount of money left with Nylah. How would the expression change if he spends $2 more?

• The total expenses are $(1.50 + 0.75 + 5.50) = $7.75 So the expression $(x - 7.75) represents the amount left with Nylah. • If she spends $2 more than the expression would decrease by 2. =$(x - 7.75 - 2) =$(x - 5.75)